Showing solidarity with striking commercial actors, the young golfing great balked yesterday at crossing the picket line to shoot an ad for sports-gear giant Nike.

“We shot no commercial today, and we have no plans to shoot any commercials for several weeks,” said Woods’ agent, Mark Steinberg. “There is a strike going on, and we’re abiding by it.”

Woods had been scheduled to shoot the slick ad – part of his ongoing multimillion-dollar contract with the company – at his home course near Orlando, Fla.

But the 24-year-old is apparently abiding by union rules against crossing picket lines because, according to the unions’ code, anyone who appears in more than one commercial is a member, including athletes like him.

Nike spokesman Mike Kelly would only say that the company still plans to have the commercial ready to air for the U.S. Open, which begins June 15.

“The last I heard it was to be rescheduled,” Kelly said. “Tiger’s schedule is pretty hectic, so it’s hard to say. It may be a couple of months, it may be a couple of weeks.”

Meanwhile, the striking unions – the Screen Actors Guild and American Federation of Television and Radio Artists, which represent a total of about 135,000 actors – hailed their new hero.

“We deeply appreciate the support of this international superstar,” SAG spokesman Greg Krizman said.

The unions’ 2-day-old strike involves a dispute over the pay scale for commercials.

Actors get a minimum $478 a day for commercials, as well as “pay-per-play” residuals of about $50 to $120 each time the spot airs again on TV.

But if the commercial airs on cable, the actors get only a flat fee of $1,000 – or less – for each 13-week, unlimited run.

With two-thirds of TV ads now airing on cable, union members are demanding to be paid the higher scale even for cable airings.